Details

analyze255.0ms (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series18.0ms (1%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 y (+.f64 z x))
8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

simplify61.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune47.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
0.6b	(cbrt.f64 (+.f64 x z))
0.6b	(cbrt.f64 (+.f64 x z))
0.6b	(cbrt.f64 (+.f64 z x))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
4.0ms	(cbrt.f64 (+.f64 x z))
3.0ms	(cbrt.f64 (+.f64 x z))
3.0ms	(cbrt.f64 (+.f64 z x))

series149.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
35.0ms	(cbrt.f64 (+.f64 x z))
33.0ms	(cbrt.f64 (+.f64 z x))
32.0ms	(cbrt.f64 (+.f64 x z))

simplify70.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4889	995
1	4889	995

prune109.0ms (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.3b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
34.6b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

series40.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
9.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
8.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))
7.0ms	(*.f64 y (+.f64 x z))

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5088	725

prune88.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize16.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.9b	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
3.6b	(-.f64 (.f64 x x) (.f64 z x))
7.6b	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
33.7b	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))

rewrite53.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sum-cubes_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

20.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))
15.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
11.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
4.0ms	(-.f64 (.f64 x x) (.f64 z x))

series93.0ms (5%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))
26.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
9.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
6.0ms	(-.f64 (.f64 x x) (.f64 z x))

simplify44.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1127
1	4985	1127

prune106.0ms (5.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes179.0ms (9.7%)

Accuracy

Total 0.0b remaining (32.1%)

Threshold costs 0.0b (32.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample382.0ms (20.8%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	80	valid
14.0ms	611×	body	80	invalid

Details

analyze255.0ms (13.9%)

sample14.0ms (0.8%)

simplify6.0ms (0.3%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite11.0ms (0.6%)

series18.0ms (1%)

simplify61.0ms (3.3%)

prune47.0ms (2.6%)

localize11.0ms (0.6%)

rewrite24.0ms (1.3%)

series149.0ms (8.1%)

simplify70.0ms (3.8%)

prune109.0ms (5.9%)

localize8.0ms (0.4%)

rewrite22.0ms (1.2%)

series40.0ms (2.2%)

simplify23.0ms (1.3%)

prune88.0ms (4.8%)

localize16.0ms (0.9%)

rewrite53.0ms (2.9%)

series93.0ms (5%)

simplify44.0ms (2.4%)

prune106.0ms (5.8%)

regimes179.0ms (9.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample382.0ms (20.8%)

Profiling